Search a number
-
+
1330324314409 = 232947127933179
BaseRepresentation
bin10011010110111101100…
…000100001100100101001
311201011210120220020100001
4103112331200201210221
5133244001011030114
62455050442543001
7165053451045316
oct23267540414451
94634716806301
101330324314409
11473207437462
121959aab07a61
13985ab72144c
1448560ad5d0d
1524911262374
hex135bd821929

1330324314409 has 32 divisors (see below), whose sum is σ = 1467777024000. Its totient is φ = 1201488450624.

The previous prime is 1330324314353. The next prime is 1330324314421. The reversal of 1330324314409 is 9044134230331.

It is not a de Polignac number, because 1330324314409 - 29 = 1330324313897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330324314469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40078782 + ... + 40111960.

It is an arithmetic number, because the mean of its divisors is an integer number (45868032000).

Almost surely, 21330324314409 is an apocalyptic number.

It is an amenable number.

1330324314409 is a deficient number, since it is larger than the sum of its proper divisors (137452709591).

1330324314409 is a wasteful number, since it uses less digits than its factorization.

1330324314409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34557.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 1330324314409 in words is "one trillion, three hundred thirty billion, three hundred twenty-four million, three hundred fourteen thousand, four hundred nine".

Divisors: 1 23 29 47 667 1081 1279 1363 29417 31349 33179 37091 60113 763117 853093 962191 1382599 1559413 1743277 22130393 35866499 40095371 42435941 45222977 976026643 1040128471 1230642289 1994489227 28304772647 45873252221 57840187583 1330324314409